Application of Queuing Theory in Optimizing Healthcare Systems: A Case Study of Patient Flow Management

Healthcare systems face numerous challenges related to patient flow management, which include excessive waiting times, resource misallocation, and inefficient service delivery. Queuing theory, a mathematical framework for analyzing waiting lines, has proven to be a powerful tool in addressing these challenges. This paper examines the application of queuing theory, particularly the M/M/1 model, in optimizing patient flow in healthcare settings. A case study of an emergency department (ED) is used to analyze the impact of patient arrival rates and service rates on system performance. The findings highlight the need for better resource allocation and patient prioritization strategies. Recommendations for improving patient flow through dynamic scheduling and multi-server systems are provided. The paper concludes by emphasizing the role of queuing theory in enhancing the efficiency and effectiveness of healthcare systems.